Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Voltage Overhead DC = sqrt(Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume of Conductor))
Vm = sqrt(ρ*(P*L)^2/(Ploss*V))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Maximum Voltage Overhead DC - (Measured in Volt) - Maximum Voltage Overhead DC is defined as the peak amplitude of the AC voltage supplied to the line or wire.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Power Transmitted - (Measured in Watt) - Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end.
Length of Wire DC - (Measured in Meter) - Length of Wire DC is the total length of the wire from one end to other end.
Line Losses - (Measured in Watt) - Line Losses is defined as the total losses occurring in an Overhead DC line when in use.
Volume of Conductor - (Measured in Cubic Meter) - Volume of Conductor is the total volume of the material used to make the conductor of an overhead dc line.
STEP 1: Convert Input(s) to Base Unit
Resistivity: 1.7E-05 Ohm Meter --> 1.7E-05 Ohm Meter No Conversion Required
Power Transmitted: 920 Watt --> 920 Watt No Conversion Required
Length of Wire DC: 12.7 Meter --> 12.7 Meter No Conversion Required
Line Losses: 0.74 Watt --> 0.74 Watt No Conversion Required
Volume of Conductor: 26 Cubic Meter --> 26 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vm = sqrt(ρ*(P*L)^2/(Ploss*V)) --> sqrt(1.7E-05*(920*12.7)^2/(0.74*26))
Evaluating ... ...
Vm = 10.982810117967
STEP 3: Convert Result to Output's Unit
10.982810117967 Volt --> No Conversion Required
FINAL ANSWER
10.982810117967 10.98281 Volt <-- Maximum Voltage Overhead DC
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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6 Current & Voltage Calculators

Maximum Voltage using Line Losses(Two-Wire Mid-Point Earthed)
Go Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))
Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)
Go Maximum Voltage Overhead DC = sqrt(Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume of Conductor))
Load Current using Line Losses(Two-Wire Mid-Point Earthed)
Go Current Overhead DC = sqrt(Line Losses/(2*Resistance Overhead DC))
Maximum Voltage using Load Current(Two-Wire Mid-Point Earthed)
Go Maximum Voltage Overhead DC = Power Transmitted/(2*Current Overhead DC)
Load Current(Two-Wire Mid-Point Earthed)
Go Current Overhead DC = Power Transmitted/(2*Maximum Voltage Overhead DC)
Maximum Voltage (Two-Wire Mid-Point Earthed)
Go Maximum Voltage Overhead DC = 2*Maximum Voltage between Conductor and Earth

Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) Formula

Maximum Voltage Overhead DC = sqrt(Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume of Conductor))
Vm = sqrt(ρ*(P*L)^2/(Ploss*V))

What is the volume of two-wire mid-point earthed system?

The volume of conductor material required in a two-wire mid-point earthed system is one-fourth of that required in a two-wire DC system with one conductor earthed.

How to Calculate Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)?

Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) calculator uses Maximum Voltage Overhead DC = sqrt(Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume of Conductor)) to calculate the Maximum Voltage Overhead DC, The Maximum Voltage using Volume of Conductor Material(2-Wire Mid-point Earthed OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition. Maximum Voltage Overhead DC is denoted by Vm symbol.

How to calculate Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) using this online calculator? To use this online calculator for Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS), enter Resistivity (ρ), Power Transmitted (P), Length of Wire DC (L), Line Losses (Ploss) & Volume of Conductor (V) and hit the calculate button. Here is how the Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS) calculation can be explained with given input values -> 10.98281 = sqrt(1.7E-05*(920*12.7)^2/(0.74*26)).

FAQ

What is Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)?
The Maximum Voltage using Volume of Conductor Material(2-Wire Mid-point Earthed OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition and is represented as Vm = sqrt(ρ*(P*L)^2/(Ploss*V)) or Maximum Voltage Overhead DC = sqrt(Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume of Conductor)). Resistivity is the measure of how strongly a material opposes the flow of current through them, Power Transmitted is defined as the product of current and voltage phasor in a overhead dc line at the receiving end, Length of Wire DC is the total length of the wire from one end to other end, Line Losses is defined as the total losses occurring in an Overhead DC line when in use & Volume of Conductor is the total volume of the material used to make the conductor of an overhead dc line.
How to calculate Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS)?
The Maximum Voltage using Volume of Conductor Material(2-Wire Mid-point Earthed OS) formula is defined as the highest voltage rating for electrical devices and equipment that can be used with the voltage definition is calculated using Maximum Voltage Overhead DC = sqrt(Resistivity*(Power Transmitted*Length of Wire DC)^2/(Line Losses*Volume of Conductor)). To calculate Maximum Voltage using Volume of Conductor Material(2-Wire Mid-Point Earthed OS), you need Resistivity (ρ), Power Transmitted (P), Length of Wire DC (L), Line Losses (Ploss) & Volume of Conductor (V). With our tool, you need to enter the respective value for Resistivity, Power Transmitted, Length of Wire DC, Line Losses & Volume of Conductor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Maximum Voltage Overhead DC?
In this formula, Maximum Voltage Overhead DC uses Resistivity, Power Transmitted, Length of Wire DC, Line Losses & Volume of Conductor. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Maximum Voltage Overhead DC = 2*Maximum Voltage between Conductor and Earth
  • Maximum Voltage Overhead DC = Power Transmitted/(2*Current Overhead DC)
  • Maximum Voltage Overhead DC = Power Transmitted*sqrt(Resistivity*Length of Wire DC/(Line Losses*2*Area of Overhead DC Wire))
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